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3 years ago

Solve for x: 2x+4=16

Mathematics

2 answers:

8090 [49]3 years ago

5 0

Answer: x = 6

Step-by-step explanation: To solve for x, we must first

isolate the term containing x, which in this problem is 2x.

Since 4 is being added to 2x, we subtract 4

from both sides of the equation to isolate the 2x.

On the left, the +4 and -4 cancels

out and on the right, 16 - 4 is 12.

So we have 2x = 12.

Then just divide both sides by 2 so <em>x = 6</em>.

olasank [31]3 years ago

4 0

Answer:

Step-by-step explanation:

2x+4=16

2x=12

x=6

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if the unit price for oranges is $0.26 per pound and Jim pays $2.08 for oranges, how many puns of oranges does he buy? A) 4.5 po

Nata [24]

Hey there!

If the price per orange is $.26 and we want to know how many oranges he bought and we have our total, we can set o equal to how many oranges he got and set up an algebraic equation:

0.26o = 2.08

We multiply .26 by o because o is how many oranges he bought and that's what we're solving for- so we multiply by the unit price.

To isolate o, we divide both sides by .26 to get:

The answer is C- Jim bought 8 oranges.

Hope this helps!

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3 years ago

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The designer also programs a bird with a path that can be modeled by a quadratic function. The bird starts at the vertex of the

Nady [450]

Answer:

-1.2

Step-by-step explanation:

Given that the designer also programs a bird with a path that can be modeled by a quadratic function.

The bird starts at the vertex of the path at (0, 20) and passes through the point (10, 8).

If we treat this curve as line joining these two points then we can find the slope by the formula

Slope = change in y coordinate/change in x coordinate

Here the points given are

(0,20) and (10,8)

$Change in y coordinate = 8-20 = -12\\Change in x coordinate = 10-0 = 10\\Slope = -1.2$

Slope of the line that represents the turtle's path

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6 0

3 years ago

Normal Distribution. Cherry trees in a certain orchard have heights that are normally distributed with mu = 112 inches and sigma

Lubov Fominskaja [6]

Answer:

The probability that a randomly chosen tree is greater than 140 inches is 0.0228.

Step-by-step explanation:

Given : Cherry trees in a certain orchard have heights that are normally distributed with $\mu = 112$ inches and $\sigma = 14$ inches.

To find : What is the probability that a randomly chosen tree is greater than 140 inches?

Solution :

Mean - $\mu = 112$ inches

Standard deviation - $\sigma = 14$ inches

The z-score formula is given by, $Z=\frac{x-\mu}{\sigma}$

Now,

$P(X>140)=P(\frac{x-\mu}{\sigma}>\frac{140-\mu}{\sigma})$

$P(X>140)=P(Z>\frac{140-112}{14})$

$P(X>140)=P(Z>\frac{28}{14})$

$P(X>140)=P(Z>2)$

$P(X>140)=1-P(Z$

The Z-score value we get is from the Z-table,

$P(X>140)=1-0.9772$

$P(X>140)=0.0228$

Therefore, the probability that a randomly chosen tree is greater than 140 inches is 0.0228.

5 0

3 years ago

Which method do you prefer to use to find sums- count by tens and ones, use compatible numbers, or use friendly numbers and adju

Usimov [2.4K]

I prefer to use compatible numbers because by using this method it is easier to make a sum mentally. This is true because compatible numbers are close in value to the actual numbers. For a better understanding, let's take an example:

Suppose you have two numbers, namely 640 and 40. These two numbers are compatible for division because:

64 ÷ 4 = 16

So, we have used mental arithmetic to solve a more complex problem.

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3 years ago

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What is the solution to the system graphed below?

lions [1.4K]

Answer:

I'm pretty sure it is (2,0)

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2 years ago